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Finding the Third Proportional to 4,640,080 and 6,817,975

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Solution

The third proportional to 4,640,080 and 6,817,975 is: 10,018,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,080 : 6,817,975 = 6,817,975 : x
  2. Step 2: Convert to fraction form
    4,640,080/6,817,975 = 6,817,975/x
  3. Step 3: Cross multiply
    4,640,080x = 6,817,975 × 6,817,975
  4. Step 4: Simplify right side
    4,640,080x = 46,484,783,100,625
  5. Step 5: Solve for x
    x = 46,484,783,100,625/4,640,080
  6. Step 6: Final answer
    x = 10,018,099.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.